The connection between quantum entanglement and the arrow of time has been the subject of numerous research enterprises, some recent ones include [1]}, [2]}, [3]}, [4]}, [5]}.
Here, we mainly focus on bipartite entanglement. It has been surmised that the operation of partial transposition in the positive partial transpose criterion for bipartite entanglement due to Peres [6]} (henceforth referred to as the `PPT criterion'Sometimes the criterion is also referred to as the Peres-Horodecki criterion [6]}, [8]})
is related to time reversal [9]}. Yet, this relationship seems not to have been made precise before.
